New results on practical set stability of switched nonlinear systems

Abstract

In this paper, we consider the practical set stability problem of a switched nonlinear system, in which every subsystem has one unique equilibrium point and these equilibrium points are different from each other. Based on the new concepts such as ε-practical set stability and a τ-persistent switching law, we explicitly construct a closed bounded set Γ and prove that under an appropriate τ-persistent switching law the switched system is ε-practically (asymptotically) set stable with respect to Γ. Finally, we present a numerical example to illustrate the results obtained.